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d1i1m1o1n [39]
2 years ago
7

Find the measure of each interior angle of a regular octagon. (A regular polygon is one that has all the same sides and angles).

[1]
Mathematics
1 answer:
NemiM [27]2 years ago
5 0

The interior angle of a regular octagon is 135 degrees.

<h3>What is an octagon?</h3>

An octagon is a polygon that has 8 sides. Therefore, a regular octagon is a octagon with all it sides and angles equal to each other.

Therefore, the sum of angles in an octagon is each interior angle multiply by the number of sides.

Therefore,

n = number of sides = 8

Hence,

interior angle = (n - 2)180 / n

interior angle = (8 - 2)180 / 8

interior angle = 6 × 180 / 8

interior angle = 1080 / 8 = 135°

learn more on octagons here: brainly.com/question/3828395

#SPJ1

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Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.
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The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2})

is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ x_{1} = -5 and x_{2} = 3

∴ y_{1} = 2 and y_{2} = 5

- Substitute these values in the rule of the distance

∵ d=\sqrt{(3--5)^{2}+(5-2)^{2}}

∴ d=\sqrt{(3+5)^{2}+(3)^{2}}

∴ d=\sqrt{(8)^{2}+(3)^{2}}

∴ d=\sqrt{64+9}=73

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

#LearnwithBrainly

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